Multi-Purpose Naming System

Discussion in 'Puzzle Theory' started by Ashton, Aug 1, 2017.

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  1. Ashton

    Ashton Member

    20
    6
    Feb 4, 2017
    Facelets on F face (3×3×3 cube)

    1F1 1F2 1F3
    2F1 2F2 2F3
    3F1 3F2 3F3

    Facelets on F face (7×7×7 cube)

    1F1 1F2 1F3 1F4 1F5 1F6 1F7
    2F1 2F2 2F3 2F4 2F5 2F6 2F7
    3F1 3F2 3F3 3F4 3F5 3F6 3F7
    4F1 4F2 4F3 4F4 4F5 4F6 4F7
    5F1 5F2 5F3 5F4 5F5 5F6 5F7
    6F1 6F2 6F3 6F4 6F5 6F6 6F7
    7F1 7F2 7F3 7F4 7F5 7F6 7F7

    Fixed center: 4F4
    Obliques: 2F3, 2F5, 3F2, 3F6, 5F2, 5F6, 6F3, 6F5

    We can describe parts of the cube states with the help of a simple notation. Examples:
    ·1F(F):1,2,3 means that the three facelets have the same color, the color of the F face (upper row of the F face, color of the F face, the three facelets)
    ·1F(U):0 means that there are no facelets with the color of the U face on 1F
    ·1F(U):1,3 means that 1F1 and 1F3 have the same color, the color of the U face
    ·U(U):2U,5U describes the cross on U face (2U is a row and 5U is a column)
    ·6U is the buffer area for edges in Classic Pochmann (1U3/6U1, 2U3/6U2 and 3U3/6U3 cubies in a 3×3×3 cube)
    ·U&(U):4U2,5U,6U&1B3,1F1 describes chameleon case (4U2 facelet, 5U and 6U columns and the other facelets that are not on the U face)
     
    Last edited: Oct 9, 2017
    Teoidus and mDiPalma like this.
  2. Ashton

    Ashton Member

    20
    6
    Feb 4, 2017
    A different idea.

    UBL, BL, DBL → E, A, I (earlier)
    UBR, BR, DBR → B, C, K (back)
    UFL, FL, DFL → L, F, T (left)
    UFR, FR, DFR → R, G, H (right)
    UB, UR, UF, UL → J, U, M, P
    DF, DR, DB, DL → D, O, W, N
    U, L, F, R, B, D → V, S, Z, X, Q, Y

    B is the UBR corner. Br indicates the disoriented or oriented B corner is in the position r. BR indicates the oriented B corner is in the position r. BB indicates the B corner is solved. The facelet that interests us is denoted with numbers (1, 2, 3, 4, 5, 6 → U, L, F, R, B, D faces).
    If we see GP edge and Hr4 corner (F2L), we do U F' U F U' R U R' and we see GG-HH.
     
  3. Lucas Garron

    Lucas Garron Super-Duper Moderator Staff Member

    If you're going to label pieces/stickers in an orbit, I highly recommend using the main established standard: Speffz

    (You can use a pair of indices if you need to identify an orbit, similar to the pairs used in the first post from (1, 1) to (3, 4).)
     
  4. Ashton

    Ashton Member

    20
    6
    Feb 4, 2017
    Thanks for the suggestion.
     
    Last edited: Nov 15, 2017 at 6:30 PM

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